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Finding the Fourth Proportional to 653,503,314.80, 978,911,279.40 and 449,262,009.20

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Solution

The fourth proportional to 653,503,314.80, 978,911,279.40 and 449,262,009.20 is: 672,969,269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,503,314.80 : 978,911,279.40 = 449,262,009.20 : x
  2. Step 2: Convert to fraction form
    653,503,314.80/978,911,279.40 = 449,262,009.20/x
  3. Step 3: Cross multiply
    653,503,314.80x = 978,911,279.40 × 449,262,009.20
  4. Step 4: Simplify right side
    653,503,314.80x = 439,787,648,211,786,560
  5. Step 5: Solve for x
    x = 439,787,648,211,786,560/653,503,314.80
  6. Step 6: Final answer
    x = 672,969,269.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.